Results are out! Find what you need...fast. Get quick advice or join the chat
Hey! Sign in to get help with your study questionsNew here? Join for free to post

Transformation Of Functions

Announcements Posted on
    • Thread Starter
    • 36 followers
    Offline

    ReputationRep:
    Draw the graph of y=f(x) where f(x)=x^2

    Describe the transformation which maps y=f(x) to y=f(x-2)

    For this I would basically have to draw the graph x^2 and move the graph 2 places to the right.

    The thing is that I don't understand why are we moving the vertex two places to the right.
    • 72 followers
    Online

    ReputationRep:
    f(0) = 0

    In the original graph x=0 gives f(0)
    In the second graph x=2 gives f(0)
    • Thread Starter
    • 36 followers
    Offline

    ReputationRep:
    (Original post by TenOfThem)
    f(0) = 0

    In the original graph x=0 gives f(0)
    In the second graph x=2 gives f(0)
    I'm not following.

    Why are you doing x=2 and what are you trying to show by f(x)=0
    • 72 followers
    Online

    ReputationRep:
    (Original post by zed963)
    I'm not following.

    Why are you doing x=2 and what are you trying to show by f(x)=0
    You asked why the vertex moved 2 places to the right

    The vertex of the original graph is (0,0)

    The vertex of the translated graph is (2,0)
    • Thread Starter
    • 36 followers
    Offline

    ReputationRep:
    Are you trying to say that to make x=0 what do I need to do to make it 0 so in this case add 2
    • 72 followers
    Online

    ReputationRep:
    (Original post by zed963)
    Are you trying to say that to make x=0 what do I need to do to make it 0 so in this case add 2
    no
    I am saying that to get the vertex in the transformed graph x=2

    f(2-2) = 0
    • Thread Starter
    • 36 followers
    Offline

    ReputationRep:
    (Original post by TenOfThem)
    no
    I am saying that to get the vertex in the transformed graph x=2

    f(2-2) = 0
    Understood.
    • Thread Starter
    • 36 followers
    Offline

    ReputationRep:
    So how do I know which one I should choose for example if I was shown a graph and it told me to state the function and I had two choices to choose from which One would I choose.

    So if I had f(-x) or -f(x)

    What determines which one I choose
    • 72 followers
    Online

    ReputationRep:
    (Original post by zed963)
    So how do I know which one I should choose for example if I was shown a graph and it told me to state the function and I had two choices to choose from which One would I choose.

    So if I had f(-x) or -f(x)

    What determines which one I choose
    Wether the x has changed [f(-x)] or the y has changed [-f(x)]

    The former transforms parallel to the x-axis whereas the latter transforms parallel to the y-axis

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide to join now Processing…

Updated: August 4, 2012
New on TSR

GCSE English mock revision

Revise together & check out past papers

Article updates
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.